Answers
Answer:
1) m∠AB'C = 41°
2) m∠BAC = 49°
3) m∠B'AC = 49°
4) m∠ACB = 90° Given
5) m∠ACB' = 90°
6) [tex]\overline {AB'}[/tex] = 24
7) Isosceles triangle
8) True
Step-by-step explanation:
Given that triangle ΔABC, is the reflection of ΔAB'C, and given that a reflection is a rigid transformation, we have;
1) ΔABC ≅ ΔAB'C Given
∴ m∠AB'C ≅ m∠ABC given that Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
m∠AB'C = m∠ABC by the definition of congruency
∴ m∠AB'C = m∠ABC = 41°
2) Similarly, we have;
m∠BAC = 180° - (90° + 41°) = 49° Given the sum of interior angles of a triangle theorem
m∠BAC = 49°
3) m∠BAC = m∠B'AC by CPCTC
∴ m∠B'AC = m∠BAC = 49° by transitive property
m∠B'AC = 49°
4) m∠ACB = 90° Given
5) ∴ m∠ACB' = 90° given that the sum of angles on a straight line is 180°
6) [tex]\overline {AB}[/tex] = 24 Given
[tex]\overline {AB}[/tex] ≅ [tex]\overline {AB'}[/tex] given that ΔABC ≅ ΔAB'C and CPCTC
[tex]\overline {AB}[/tex] = [tex]\overline {AB'}[/tex]
[tex]\overline {AB'}[/tex] = [tex]\overline {AB}[/tex] = 24
[tex]\overline {AB'}[/tex] = 24
7) In ΔABB', [tex]\overline {AB'}[/tex] = [tex]\overline {AB}[/tex] = 24 therefore, ΔABB' has two sides equal and ΔABB' Is an isosceles triangle
8) True, the angles opposite the congruent sides are the base angles of the isosceles triangle and they are therefore congruent
Related Questions
Brian is building a rectangular pool that has a circular island in the middle. If he wants the length to be 25ft long, the width to be 15ft wide, and the island to have a diameter of 4ft, then what will the area of Brian's pool be, not including the island?
Answers
Answer:
368.72 ft^2
Step-by-step explanation:
25x15-2π
=375-2π
~368.72
Find the area of the rectangle with measurements shown; reduce to lowest terms
Length: 2 2/5 feet; width: 1/3 feet
Answers
Answer:
I have gotten 100% on the quiz. The answer is 4/5 square feet.
Step-by-step explanation:
The area of the rectangle with the given measurements is 4/5 square feet.
How to find the area of a rectangle?The area of a rectangle can be found by multiplying the 2 adjacent sides of the rectangle. In a rectangle with sides l and b, the area can be found by A = l*b.
The length and width of the rectangle are given. We can find the area of the rectangle as follows:
[tex]\text{Area} =2\frac{2}{5} (\frac{1}{3} ) \text{ft}^{2}[/tex]
= (12/5) * (1/3) square feet
= 4/5 square feet
We have found the area of the rectangle with the given measurements to be 4/5 square feet. The correct answer is option C.
Learn more about the area of a rectangle here-https://brainly.com/question/25292087
#SPJ2
Find tan A for the triangle below.
a. 0.4167
b. 0.385
c. 2.4
d. 0.923
Answers
Answer:
C "ccccccccccccccccccc
A cylinder has a volume 114cm what is the volume of a cone with the same radius and height?
Answers
Answer:
17,190.795
Step-by-step explanation:
I colour coded them so it would be easy to point out what goes where
Ex:
Poly: blue green, etc.
Non poly: pink purple, etc.
Answers
Poly:red purple blue
Non poly: yellow green white
A crew of highway workers paved 2/15 mile in 20
minutes. If they work at the same rate, what portion of
a mile will they pave
in an hour?
Answers
Answer:
So they would pave 3×215=3 ×23 ×5=25 mile/hr.
Step-by-step explanation:
if 1% of the amount is $8, what is 100% of the amount
Answers
Answer:
if 1% of the amount is $8
So, ($8 /1%) x 100%
800$
Step-by-step explanation:
Answer:
$800
Step-by-step explanation:
1% × 100 = 100%
$8 × 100 = $800
100% = $800
prepare their flower beds for the Cedar bark mulch 6 inches deep is to be spread on each of the beds The mulch is sold in bags containing 3 cubic feet for $6.95 per bag If the landscaping company charges $200 plus the cost of the mulch, what will the Andersons pay for this mulching work?
Answers
Answer:
F>U>C>K U B>R>A>I>N>L>Y F>O>R D>E>L>E>T>I>N>G M>Y ANSWERS B>I>TCH
Step-by-step explanation:
*AM I RIGHT? , CHECK ATTACHMENTS,
ILL GIVE BRAINLIEST :P *
Answers
Answer:
this is the ten thousands decimal place.
what am i missing? ..
Answers
cos x =9/12
(9/12)cos^-1 =41.40
Y=2x+5 and y-4x=-2
One solution? Infinitely solution or no solution?
Answers
Answer:
Y = 2x+5 would be one solution. Y-4x=02 would also have one solution!
Step-by-step explanation:
Marisa's hair grew 11 in. in 2 mo.
how many inches did her hair grow in a month
Answers
Please solve this for number 3 and 4. Thank you!
Answers
Answer:
Step-by-step explanation:
f(x) = x^2+2x
g(x) = 3x-9
g(3) = 3*3-9 = 0
(f∘g)(3) = f(g(3)) = 0^2 + 2*0 = 0
:::::
f(-2) = (-2)^2+2(-2) = 0
(g∘f)(-2) = g(f(-2)) = g(0) = 3(0)-9 = -9
What is the measure of T, rounded to the nearest degree?
22°
33°
43°
68
Answers
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answers
Answer:
findth(2.718282)volum(2.718282)ifth(2.718282)diam(2.718282)t(2.718282)ris(12)(7.5)
=13357.184319ad2f2h2i4lm2norst3uv
Step-by-step explanation:
Help me this is due worth 10 points
Answers
Answer:
7 is the greatest common factor
Step-by-step explanation:
This is wrong, isn't it?
Answer: 7(2x + 3y + z)
Step-by-step explanation: Hope his was helpful...
A cylinder has a volume 114 cm3. What is the volume of a cone with the
same radius and height?
Answers
Answer:
the cylinder
Step-by-step explanation:
i dont know how to solve this sorry hunnn
Help me find this out :( I’m lost can u type out the answer btw
Answers
total cost per call.
I am not sure. though
8 less than the quotient of a number and 4
Answers
Answer:
(n/4)- 8
Step-by-step explanation:
a number= "n"
(n/4)-8
Please answer this ASAP!!!!
Answers
Find the axis of symmetry and the vertex of the graph of f(x) = 4x^2-8x+3.
Answers
Answer:
(1, -1) and x= -1
Step-by-step explanation:
The vertex is (1, -1)
The parabola params are:
a=4, b=-8, c=3
v= −b/2a
- (−8)/ 2 · 4
Simplify
v=1 v=1
Plug in v=1 to find the y value
y=−1
Therefore the parabola vertex is
(1, −1)
The axis of symmetry is the line that passes through the vertex and focus.
Therefore, your axis of symmetry is
x= -1
Hanover High School has the best women's swimming team in the region. The 400-meter freestyle relay team is undefeated this year. In the 400-meter freestyle relay, each swimmer swims 100 meters. The times, in seconds, for the four swimmers this season are approximately normally distributed with means and standard deviations as shown.
Answers
Complete question :
Swim team Hanover High School has the best women’s swimming team in the region. The 400- meter freestyle relay team is undefeated this year. In the 400-meter freestyle relay, each swimmer swims 100 meters. The times, in seconds, for the four swimmers this season are approximately Normally distributed with means and standard deviations as shown. Assuming that the swimmer’s individual times are independent, find the probability that the total team time in the 400-meter freestyle relay is less than 220 seconds. Follow the four-step process
Answer:
0.225
Step-by-step explanation:
Given the data:
Swimmer__ Mean __Std. dev.
Wendy ___ 55.2 ____ 2.8
Jill _______ 58.0 ____ 3.0
Carmen____56.3 ____ 2.6
Latrice_____54.7_____2.7
Team average = (55.2 + 58 + 56.3 + 54.7) = 224.2
Team standard deviation = (2.8 + 3 + 2.6 + 2.7) = 11.1
Standard Error = 11.1 /sqrt(n)
Standard Error = 11.1 / sqrt(4)
Standard Error (S. E) = 11.1 / 2 = 5.55
P(x < 220) :
(x - mean) / S.E
(220 - 224.2) / 5.55
= −0.756756
P(Z < - 0.757) = 0.22452
P(Z < - 0.757) = 0.225
Answer:
its B
Step-by-step explanation:
Find the measure of each angle in the isosceles trapezoid.
L
K 118°
J
M
Answers
Answer:
∠L & ∠M are 62°
∠J = 118°
Step-by-step explanation:
check:
all 4 angles should total 360°
118°+118°+62°+62° = 360°
360° = 360°
If you help me with this fast I will brain you.
Thanks.
Answers
Answer:
-2 and -6 is the correct answer
Rewrite y=2x-7 in function notation
Answers
Answer:
this is how you rewrite in function notation F(×)=2x-7
In triangle XYZ, Z = 46 cm, x = 45 cm and ZY=81º. Find the length of y, to the nearest
centimeter.
Answers
a^2=46^2+45^2-2*45*46cos81
PLS HELP WHAT IS THE ANSWER?!!
Answers
-2x is the slope, so negative usually means it’s decreasing
what is x. x50+50x2= 20100
Answers
Answer:
1.21...
Step-by-step explanation:
Are you sure you wrote the equation right? Just a little question but that should be the answer!
what is the value of x
Answers
5 points and brainliest to first correct answer!
Absalom states that 0 is a rational number. Which is a correct explanation for this statement?
The number 0 is a whole number, which is part of the rational numbers.
The number 0 is the center of the number line.
The number 0 is a natural number, which is part of the rational numbers.
The number 0 cannot be written as a fraction.
Answers
Answer:
The number 0 is a whole number, which is part of the rational numbers.
Step-by-step explanation:
I'M 50% SURE THAT THIS IS CORRECT SO SORRY IF I'M WRONG.
Answer:
answer is A
Step-by-step explanation:
The number 0 is a whole number, which is part of the rational numbers.